Home
Class 12
MATHS
If A(alpha)=[(cos alpha, sin alpha),(-si...

If `A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)]`, then `A(alpha)A(beta)=`

A

`A(alpha)-A(beta)`

B

`A(alpha)+A(beta)`

C

`A(alpha-beta)`

D

`A(alpha+beta)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B MCQ (DETERMINANTS)|189 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 MCQ (SPECIAL TYPES QUESTIONS) SET -4|8 Videos

  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos

  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] then "AA"^(T)=

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then (2A)(1/4A')=

If A=[(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then verify that A'A=I

If A = [(cos alpha, sin alpha),(-sin alpha, cos alpha)] , then show that AA'= A'A.

|(sin alpha, cos alpha),(cos alpha, -sin alpha)|=

If F(alpha)=|(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)| then det F(alpha)=

A(alpha, beta)=((cos alpha, sin alpha, 0),(- sin alpha, cos alpha, 0),(0,0,e^(beta)))=[A(alpha, beta)]^(-1)=

If A=[(cos alpha, - sin alpha, 0),(sin alpha, cos alpha, 0),(0,0,1)] then (AdjA)^(T)=

|(cos alpha, sin alpha, cos (alpha+beta)),(- sin alpha, cos alpha, -sin (alpha + beta)),(1,1,1)|=

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1A MCQ (ALGEBRA OF MATRICES)
  1. If A=[(cos^(2) alpha, cos alpha sin alpha),(cos alpha sin alpha,sin^(2...

    Text Solution

    |

  2. If alpha-beta=(2n+1)(pi)/2, n epsilon Z then [(cos^(2) alpha, cos alph...

    Text Solution

    |

  3. If A(alpha)=[(cos alpha, sin alpha),(-sin alpha, cos alpha)], then A(a...

    Text Solution

    |

  4. If A=[(a,b),(c,d)],I=[(1,0),(0,1)] then A^(2)-(a+d)A=

    Text Solution

    |

  5. If A=[(0,c,-b),(-c,0,a),(b,-a,0)] then A^(3)=

    Text Solution

    |

  6. If A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A^(3)=

    Text Solution

    |

  7. If A=[(1,1,-2),(0,1,4),(2,3,1)] then A^(3)-3A^(2)-5A=

    Text Solution

    |

  8. A=[{:(1,2,2),(2,1,2),(2,2,1):}], then A^(3) - 4A^(2) -6A is equal to

    Text Solution

    |

  9. If A=[(4,2),(-1,1)] then (A-21) (A-3I)=

    Text Solution

    |

  10. If A=[(8,-6,2),(-6,7,-4),(2,-4,3)] then A(A-3I)(A-15I)=

    Text Solution

    |

  11. If A=[(1,0,0),(0,2,1),(1,0,3)] then (A-I)(A-2I)(A-3I)=

    Text Solution

    |

  12. If A=[(1,3),(3,4)] and A^(2)-kA-5I(2)=O then k=

    Text Solution

    |

  13. If A=[(-8,5),(2,4)] satisfies the equation f(x)=x^(2)+4x-p=0 then p=

    Text Solution

    |

  14. If ((3,-2),(-1,2))((x),(y))=((11),(-5)), then 3x+7y=

    Text Solution

    |

  15. If [(1,-tan theta),( tan theta,1)][(1,tan theta),(-tan theta, 1)]^-1=[...

    Text Solution

    |

  16. [(x,y,z)][(a,h,g),(h,b,f),(g,f,c)][(x),(y),(z)]=

    Text Solution

    |

  17. If A=[(2),(0),(1)],B-[(4,-2,5)],C=[(0,1),(1,0),(-1,1)] then ABC=

    Text Solution

    |

  18. If [[x,4,-1]][(2,1,0),(1,0,2),(0,2,4)][(x),(4),(-1)]=0 then x=

    Text Solution

    |

  19. If A=[(x,1),(1,0)] and A^(2)=I then x=

    Text Solution

    |

  20. If A=[(1,-1),(2,-1)],B=[(x,1),(y,-1)] and (A+B)^(2)=A^(2)+B^(2) then (...

    Text Solution

    |